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Stationary wave of frequency 5 K Hz is p...

Stationary wave of frequency 5 K Hz is produced in a tube open at both ends and filled with air at `300 K`. The tube is oscillating in its first overtone mode.
(a) Find the length of the tube assuming that air contains only nitrogen and oxygen in molar ratio of `3 : 1`.
(b) What shall be the frequency of sound wave used so that the same tube oscillates in its second overtone mode?

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The correct Answer is:
(a) 6.9 cm
(b) 7543 Hz
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